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Finding the Fourth Proportional to 37,696.38, 56,544 and 12,753.96

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Solution

The fourth proportional to 37,696.38, 56,544 and 12,753.96 is: 19,130.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,696.38 : 56,544 = 12,753.96 : x
  2. Step 2: Convert to fraction form
    37,696.38/56,544 = 12,753.96/x
  3. Step 3: Cross multiply
    37,696.38x = 56,544 × 12,753.96
  4. Step 4: Simplify right side
    37,696.38x = 721,159,914.24
  5. Step 5: Solve for x
    x = 721,159,914.24/37,696.38
  6. Step 6: Final answer
    x = 19,130.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.